Coordinate Geometry (Elementary Math)

🦉 Cartesian Coordinate

$$(x,y)$$

🦉 Gradient

m=\dfrac{y_1-y_2}{x_1-x_2}

🦉 Equation

$$y-y_1=m(x-x_1)$$

$$y=mx+c$$

Vertical line: $x=a$

Horizontal line: $y=b$

🦉 Length

\text{Length } = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}